Question

2 Points

Answer 1

Answer:

B

Step-by-step explanation:

First find the circumference of the circle with radius of 9 inches:

$C=2\pi r=2\pi \cdot 9=18\pi \ inches$

The full angle has 360°, so, to find the length of the arc DE, you can write:

$360^{\circ}\ - \ 18\pi \\ \\145^{\circ}\ - \ x$

which yields a proportion:

$\dfrac{360}{145}=\dfrac{18\pi}{x}\\ \\360x=145\cdot 18\pi\\ \\x=\dfrac{145\cdot 18\pi }{360}=\dfrac{145\pi}{20}=7.25\pi\approx 22.8\ inches$